mock 5 sol

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Page 1 Online Mock CAT 5 - Unproctored

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1. 2 Using statement A:(x y) 2 > 0.It cannot be inferred that (x y) > 0.It can even be (y x) > 0So, statement (A) itself is not sufficient.

Using statement B:(x + y) (x + y) = 4xy(x + y) 2 4xy = 0 (x y) 2 = 0 x = y.So, x >/ y.So, statement (B) in itself is sufficient.Hence, option (2) is the correct choice.

2. 3 Using statement A:

If the 1st train take t hrs, then the 2nd train takes 5t + hrs.6

Hence, 60t 5= 50 t6

+

25

t = hrs6

Hence, the distance is 2560t 60 250 kms.

6

= =

Using statement B:

The two trains, after crossing each other, take13 of an hour

and12 of an hour to reach their respective destinations. It is

obvious that the train taking13 of an hour would be faster, let

speed of this train be (x + 15)km/hr the speed of the other train would be x km/hr

Now

1x 15 32

1x 23

+ = =

Or,2

2 2x 15 3 or 2(x 15) 3xx 2+ = + =

Or, 2(x 2 + 30x 225) = 3x 2

Or, x 2 60x 450 = 0

Or,60 30 6

x 30 15 62

= =

But 30 15 6 is negative

x 30 15 6 = +

X Meeting point

hr

Speed: x km/hr Speed: (x + 15)km/hrY

12 hr

13

The distance between X and Y would be

x 15 x 5x 5 kms3 2 6+ + = +

5 (30 15 6) 56

= + + 25 6 25 625 5 30 kms2 2

= + + = +

Hence we can get the answer using either of the statements.

3. 4 Using statement A:Since he had chicken yesterday, so today could be eitherSunday or Monday or Wednesday.So, it cannot be determined.

Using statement B:Today is either Friday or Tuesday or Wednesday. Hence, itcannot be determined.However by combining both the statements it follows thattoday is Wednesday, hence, he won t eat chicken today.

4. 1 Since A B C is odd, so each of A, B, and C is odd.So, C A = even.However, from statement (B), best that can be deduced isthat at least two among A, B, C, are even.Hence statement B is insufficient.

5. 5 Statement (A) gives a point through which lines L and Mpass.So, by itself it is not sufficient.Statement (B) alone also does not give both the lines.Combining both the statements, we cannot still find the answerto the question.

6. 1 The number is of the form 2 + 7KNow when we divide this number by 8, remainder should be4.The smallest natural number which when divided by 7 leavesa remainder of 2 and which when divided by 8 leaves aremainder of 4 is 2 + 7 6 = 44.LCM (7, 8) = 56 The number is of the form 44 + 56r. (where r is a naturalnumber)Now when we divide this number by 9, the remainder shouldbe 6.44 + 56r = 54r + 45 + 2r 1 54r + 45 is always divisible by 9. We have to look for thesmallest value of r for which 2r 1 when divided by 9leaves a remainder 6. Such value of r is 8. So the smallestsuch number 56 8 + 44 = 492.

Alternative Method:LCM of (7, 8, 9) = 504When we subtract 3 from the LCM and divide by 7, 8 and 9respectively, remainders will be 4, 5 and 6. Here, the gap inthese remainders is 1. When we subtract 9 from 501, thentheir remainder gap will be doubled i.e. 2, 4 and 6. So, therequired smallest number is 504 3 9 i.e. 492.

7. 1 Let , be the roots of the equation x 2 + ax + b = 0 and, be the roots of the equation x 2 + bx + a = 0.

Putting x = in both the equations.2 a b 0 + + = ...(i)2 b a 0 + + = ...(ii)

Subtracting (ii) from (i)

(a b) (b a) 0 or (a b) (a b) or 1 + = = = 1 is the common root of the given equationsNow putting x = 1 in these equations, we get1 + a + b = 0 or a + b = 1

Now . b or 1. b or b = = =Similarly a = The required equation isx2 (a + b)x + ab = 0or, x 2 ( 1)x + ab = 0or, x 2 + x + ab = 0

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8. 1 Chandra and Mayank completed 63% of the work in 7 days.So, they completed 9% of the work in a day.Now, since the ratio of their efficiency of doing the work is5 : 4, so one of them completes 5% of the work and other one4% of the work in a day. Obviously, the person doing 5% ofthe work in a day is the fastest worker.Time taken by the fastest worker to complete the whole workalone = 20 days.(When all the three were working 12.33% of the work wasdone in one day. So, fastest has to be 5%)

9. 5 The given series is

2 2 2 2 2 2 2 25 11 19 29

S = .....1 2 2 3 3 4 4 5

+ + + + +

2 2 2 2 2 21 2 1 2 2 3 2 3 3 4 3 4

.....1 2 2 3 3 4

+ + + + + + = + + +

2 2 2 2

2 2 2 21 1 1 2 1 3 2

..... .....1 2 2 3 3 4 2 1 3 2

= + + + + + + +

2 2 21 1 1 1 1 1 1 11 ..... 1 ..... 22 2 3 3 4 2 2 3

= + + + + + + =

10. 4

B C

O

P

If BC is the rod, major arc BC = 5 minor arc BC

If O be the centre of Jerry s field,

360BOC 60

6

= =

BOC is equilateral.Also,

BC 200 50 = BC = 150 m = OB = OC = RRequired area = area of semicircle having BC as diameter area of segment BPC.

Area of segment BPC = 2 21 3

150 1506 4

231506 4

=

2

2

15032The required area 150

2 6 4

=

2 23 150 m4 24

=

11. 1

1 3 (5,6) 21 4 6 12 4 6 1

Firs tTime Second Time Third Time Number of Outcomes

So, total number of favourable outcomes = 3 + 1 = 4Total number of outcomes = 6 6 6 = 216

Probability = =4 1

216 54

12. 4 The three-digit number EEE can be written as E 3 37.

AB 37 2 E 3 37 = AB 2 = E 3This is only possible when AB = 12 and E = 8.[The product of E and 3 has to be greater than 20 as AB is atwo-digit number and 1 E 9 ]

13. 5 A B

CD N M

L KP Q

Let, AB = y, DC 2y =Let, AD = BC = 3xNow, QC = x

KQ BQ 2 2 2 y yKQ MCMC BC 3 3 3 2 3

= = = = =

y 5yPQ y 23 3

= + =

PQ 5AB 3

=

Alternative Method:

A B

CD

PO

Q

Join DB.Assume that DB and PQ intersect at O.Let AB = y DC = 2yIn DABPO||AB and DP:DA = 1:3

1 yPO AB3 3

= =SimilarlyIn BDC

OQ2 4y2y3 3

= =

y 4y 5yPQ3 3 3

= + = PQ 5AB 3

=

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14. 5 f(n) f(n 1) f(n 1)= + f(n 1) = f(n + 1) f(n) f(8) f(7) = f(6) and f(7) f(6) = f(5) f(n + 1) = f(n) + f(n 1) f(3) = f(2) + f(1) = 1 + 1 = 2

f(4) = f(3) + f(2) = 2 + 1 = 3

f(5) = f(4) + f(3) = 3 + 2 = 5

f(6) = f(5) + f(4) = 5 + 3 = 8f(8) f(7) f(5) f(6) f(5) 8 5 13f(7) f(6) f(4) f(5) f(4) 5 3 2

+ + + = = =

15. 4 When two c i rc les having radii r 1 and r 2 circles touchexternally, the distance between their centres = sum of theradii of the two circles = (r 1 + r 2)

r1 r2

When the circles touch internally, distance between theircentres = difference between their radii = (r 1 r2)

r r1 2

r r1 2

Let the radii of the circles with centers O P, Q and R be r, r 1,r2 and r 3 respectivelyNow r = OP + r 1 = 98 + r 1 andr = OR + r 3 = 92 + r 3 98 + r 1 = 92 + r 3 r3 = 6 + r 1PR = r 1 + r 3 = r 1 + 6 + r 1 = 2r 1 + 6 = 170 r1 = 82Now r = 98 + r 1 = 98 + 82 = 180.

For questions 16 and 17:Let ABC be the three-digit number.A + B + C = 5k, where k is a natural number.Also, C = 3AAs ABC < 300, therefore possible values of A can be 1 or 2.Corresponding values of C will be 3 and 6.A = 1 B = 5k 4Possible values of B could be 1 and 6A = 2 B = 5k 8Possible values of B could be 2 and 7.

16. 3 There are 6 digits (0, 3, 4, 5, 8 and 9) which cannot be the digitat the ten s place of the three-digit number.

17. 5 Remainder when 113, 163, 226 and 276 are divided by 17 are11, 10, 5 and 4.

So, 9 cannot be a possible reminder when such a three-digitnumber is divided by 17.

For questions 18 and 19:The total worth of coins originally in the bag = Rs.148 + Rs.212= Rs.360Let a, b and c denote the number of coins of denomination Re.1, Rs.2and Rs.5 respectively.Therefore, a + b + c = 100 and a + 2b + 5c = 360 and 10 a,b,c 60 Eliminating C, we get: 4a + 3b = 140.

Possible values of a, b and c in that particular order are(20, 20 and 60); (17, 24 and 59); (14, 28, 58) and(11, 32 and 57)

Similarly lets assume that x, y and z denote the total number of coinsof denomination Re. 1, Rs. 2 and Rs. 5 taken out by Urvashi respec-tively.

Possible values of x, y and z in that particular order are(10, 4, 26); (7, 8, 25); (4, 12, 24) and (1, 16, 23).

Total number of coins of denomination Re. 1 that remain in the bagcould be either one of these 7 values namely 1, 4, 7, 10, 13, 16 and 19respectively.

18. 4 13 is a possible number of coins of denomination Re.1 thatremain in the bag.

19. 3 If total number of coins of denomination Rs. 5 that Urvashitook out is 26, then possible number of coins of denominationRs. 2 that remain in the bag could be either one of these 4values namely 16, 20, 24 and 28.Hence option (3) is the correct choice.

20. 4s s s 31

s2 3 5 30 + + = 31

s30

is an integer

No w

s s s 31 s2 3 5 30

+ + =

s s s. and2 3 5

are all integers, otherwise

L.H.S of s s s 31 s2 3 5 30 + + =

would be less than its

R.H.S..

= = =

s s s s s s, ,

2 2 3 3 5 5

s is a multiple of 2, 3, and 5 all. s is a multiple of 30.Therefore all the multiples of 30 between 0 and 1000 satisfythe given equation.Required number of values of s is 33.

21. 3 Weight of 1 unit of B = 1 5 + 4 3 = 17 kgs.Weight of 1 unit of C = 2 5 + 6 3 = 28 kgsTherefore, weight of 1 unit of A = weight of 4 units ofB + weight of 5 units of C = 4 17 + 5 28 = 208 kgs.

Therefore, 1040 kgs of A will have 1040 5280

= units of A.

Therefore, the number of units of B and C required to make1040 units of A is 4 5 and 5 5 respectively.

Therefore, the number of units of Y required to make 20 unitsof B and 25 units of C is 20 4 and 25 6.

Weight of Y required = (20 4 + 25 6) 3 = 690 kgs.

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22. 2 Since there are 10 percent fewer B than A,A :B 10 : 9 =

Number of fishes of type B =10144 1609

=

Since there are 25 percent more A than C,A : C = 5 : 4

or

Number of fishes of type C 4= 160 1285

=

Since there are (160 + 144 + 128) = 432 fishes which are A,B, or C type, and these account for 80 percent of fishes in the

pond, the pond must have100432 = 540 fishes.80

Hence option (2) is the correct choice

23. 3 Let AB = BC = a units.

2

2FC area GFC 1 a

FC ADarea ABC 2 2BC

= = = =

Hence, a 2 1BF BD a a

2 2

= = =

BO 2 BF ( 2 1)a= = Also, BH has to be a straight line passing through O (due to

symmetry of the figure), thereforea

BH2

=

1 2 1OH ( 2 1) a a

2 2

= =

Hence, BO : OH = 2 :1

24. 1 Since, the total number of cellular phones are 160 and GSMand CDMA phones are in the ratio 3:5.So, the number of GSM and CDMA phones are 60 and 100

respectively.

Also number of phones with blue-tooth1 160 325

= =

Number of GSM cellular phones with blue-tooth is

3 32 244

= and Number of CDMA cellular phones with blue-

tooth is1 32 84

=

The required ratio60 24 36 9 :23100 8 92

= = =

25. 1 Since 9! = 9 8 7 6 5 4 3 2 1

= 27

34

5 7, the digits 5 and 7 must be present in therequired number.The products of 2 s and 3 s can be done in several wayssuch as 2 2 2 2 2 2 2 3 3 3 3 = 2 4 4 4 9 9 = 6 6 6 6 8 = 2 8 8 9 9. This cannot bedone with fewer than 5 digits since 9 4 = 6561 < 2 7 3 4

= 10368.To do this with 5 digits where at least one digit is a 2 (To keepthe number as small as possible) requires the product 2 8 8 9 9. Adding in the 5 and 7 digits so that the digits form theleast possible integer gives the answer 2578899.

For questions 26 and 27:For A, B, C, D and E respectively,ratio of gross salaries = 4 : 8 : 10 : 3 : 5ratio of taxes paid = 4 : 16 : 17 : 3 : 10ratio of net salaries = 36 : 64 : 83 : 27 : 40Since (Gross Salary Tax Paid) = Net Salary, we can form the following5 equations:4x 4y = 36z8x 16y = 64z10x 17y = 83z3x 3y = 27z;5x 10y = 40zSolving them, x : y : z = 10 : 1 : 1

26. 1 A s tax = 4y = 2000 y = 500 x = 5000 gross salary of E = 5x = Rs. 25,000

27. 2 Tax paid by B = 16yNet salary of D = 27z ratio = 16y : 27z = 16:27

For questions 28 to 32:Given that P + Q + R = 4600, Q + R + S = 6100 and P + S = 33002(P + Q + R + S) = (P + Q + R) + (Q + R + S) + (P + S) = 14000P + Q + R + S = 7000Therefore, S = 2400 and P = 900.Also, Q R = 500, therefore, Q = 2100 and R = 1600.

From the given information, we can calculate the number of maleprofessors and total number of professors in each of the fouruniversities.

Female Male Total

University A 900 8100 9000

University B 2100 4900 7000

University C 1600 6400 8000

University D 2400 3600 6000

Number of Professors

28. 1 Therefore, the number of female professors in university C is1600.

29. 3 The absolute difference between the number of maleprofessors in university A and the number of female professorsin university D is 8100 2400 = 5700.

30. 5 The ratio of the total number of professors in university D tothe number of male professors in university C is 6000:6400= 15: 16.

For questions 31 and 32:Given that 2000 professors are transferred to the universities A, B, Cand D in the ratio 4:3:2:1.

Therefore, the number of professors transferred to the universities A,B, C and D is 800, 600, 400 and 200 respectively.

31. 4 Even if we assume that all the professors that have beentransferred to university A are all females and all the professorstransferred to the university B, C and D are males, then alsothe number of male professors as a percentage of the totalnumber of professors in that university is maximum foruniversity A.

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32. 2 Given that the total number of female professors that havebeen transferred is equal to the number of female professorsin university A. (after the transfer).

Maximum female professors that could have been transferredto university A is 800. Therefore, total number of femaleprofessors in university A could be 900 + 800 = 1700.

So, the number of male professors that have been transferredto all the given four universities cannot be less than 2000 1700 = 300.

For questions 33 to 37:Let the distance covered by A on Monday, Tuesday, Wednesday,Thursday, Friday, Saturday and Sunday be denoted by MON, TUE,WED, THU, FRI, SAT and SUN respectively.As per the additional information 1: MON > WED and MON > TUEAs per the additional information 2: THU < SUN and THU < SATAs per the additional information 3: THU + TUE < MON + WEDAs per the additional information 4: WED + SUN < TUE + SATAs per the additional information 5: THU > MON

Consider additional information 3 and 5:Since THU > MON and THU + TUE < MON + WED, therefore we canconclude that WED > TUE.

Consider additional information 4:Since we have derived that WED > TUE and WED + SUN < TUE + SAT,therefore SAT > SUNTherefore, SAT > SUN > THU > MON > WED > TUEThe above holds true for each of the mentioned four persons.

33. 4 If the distance covered by A on Friday is 33 kms, then thedistances covered by A on Saturday, Sunday, Thursday,Monday, Wednesday and Tuesday are 43, 38, 27, 25, 21 and18 kms respectively.Therefore, the difference between the distance covered byA on Saturday and Monday is 43 25 = 18 kms.

34. 2 No information is given about the distance covered by any ofthese persons on Friday.If the distance covered by a person on Friday is not the leastamong all the days, then we can definitely say that the distancecovered by the person will be least on Tuesday.For each of the persons we will assume that the distancecovered by them is least on Friday.If the above assumption is true, the data given in the followingtable must also hold true.

A B C DSaturday 43 24 28 36Sunday 38 18 23 32

Thursday 33 17 21 31Monday 27 10 19 30

Wednesday 25 9 17 26Tuesday 21 7 14 25

Friday 18 5 13 22

On checking the consistency of the data in the table with theadditional information 3 and 4, the above data is possible foronly C.Therefore, for three persons namely A, B and D, the distancecovered by each one of them is definitely the least on Tuesday.

35. 3 If we consider the distances covered by D on the seven daysof the week, the only possibility is that the distance coveredby D on Friday is less than the distance covered by him/her onMonday but more than the distance covered by him/her onWednesday.Therefore, SAT > SUN > THU > MON > FRI > WED > TUETherefore, the distance covered by D on Friday is 26 kms.

36. 1 If we consider the distances covered by B on the seven daysof the week, the following cases are possible.

Case 1: SAT > FRI > SUN > THU > MON > WED > TUECase 2: SAT > SUN > FRI > THU > MON > WED > TUETherefore, on four days namely Thursday, Monday,Wednesday and Tuesday, B definitely covered less distancethan what he/she covered on Friday.

37. 5 If we consider the distances covered by C on the seven daysof the week, the following cases are possible.

Case 1:SAT > SUN > THU > MON > WED > TUE > FRIIn this case the difference between the distance covered byC on Monday and Friday is 19 13 = 6 kms.

Case 2:

SAT > SUN > THU > MON > WED > FRI >TUEIn this case the difference between the distance covered byC on Monday and Friday is 19 14 = 5 kms.Hence, the required difference can be 6 kms or 5 kms.Hence, option (5) is the correct choice.

For questions 38 to 40:

38. 1 In only one year, i.e. 2000, the number of marks alloted toGeometry is less than the number of marks alloted to Analogiesas well as Arithmetic.

39. 3 The aggregate number of marks alloted to the topics over thegiven period are as follows

S. No. M ark s

1 602 383 1144 505 1306 1407 478 509 55

10 10611 2812 4813 5014 49

The second lowest aggregate number of marks is alloted tothe topic Analogies.

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40. 1 Aggregate number of marks alloted to all the topics in thegiven years are as follows

Ye ar Num ber of m ark s1998 1851999 1652000 1652001 150

2002 1502003 150

Therefore, there is no such year.

41. 4 Sentence 1 is incorrect because it uses the relative pronounwhom in place of who .Sentence 2 uses the preposition with his approach in placeof in his approach and it is too wordy that have infusedcorruption ; which to an extent changes the intended meaning.Sentence 3 uses the relative pronoun whom in place of whoand the verb has has been used incorrectly with the pluralsubject modern society s incorrigible wrongs .Sentence 5 uses an incorrect preposition through hisapproach and there is a subject verb agreement error becausehas is used. Sentence 4 uses the relative pronoun who appropriately and it is also grammaticaly correct.

42. 1 Choice 2 is incorrect as who is used for people and which forinanimate objects, choice 3 is incorrect as there should be adegree of comparison as slowly is followed by than , choice4 is incorrect as the correct phrase is more slowly or couldbe even slower . Choice 5 is incorrect as themselves isredundant and it seems as if somebody is physically carryingsomething. Only 1 is correct and flawless.

43. 3 Sentence 1 is incorrect because the subject the insecuritiesof suburbia is plural. Therefore, the verb is should be replacedwith are .Sentence 2 is incorrect because the sentence pertains to asingle crisis, namely economic crisis. So, the use of theplural form - crises is inappropriate here.Sentence 4 is incorrect because there is a subject verbagreement error is used for the plural subject insecurities.Also, the plural form of crisis with an e is used in thesentence. Note that the sentence is extremely wordy andsome of the words are redundant.Sentence 5 uses the plural verb have for the singular form crisis. Therefore, it is incorrect.Sentence 3 uses the correct verb form are with the plural insecurities. Also, crisis is singular and it is followed by asingular verb has. Hence, 3 is correct.

44. 1 Only option (1) uses the correct forms of the verb as well asthe preposition. Choice (2) is incorrect as it incorrectly usesthe to describe high , choice (3) is incorrect as it uses thesingular present tense has instead of present plural have ,choice (4) is incorrect as it uses the incorrect preposition on .

Choice (5) is incorrect as it uses the singular form seems which is incorrect as the subject is success rates which isplural.

45. 1 The underlined part has no error thus making choice (1) correct.Choice (2) is incorrect as had found is in the past tense andis incongruous with the present tense of the sentence. Choice(3) is incorrect as the phrase a researcher has found hasbeen used incorrectly and seems to be a dangling modifier.(4) is incorrect as the indefinite article is missing before theword researcher and the singular form of laboratory isincorrect as it is used without a word symbolizing its singularity.

Choice (5) is incorrect as spared used in it is incongruouswith the present tense of the sentence, since the sentence isin the present tense, sparing which is in present tense, shouldbe used.

46. 2 The passage is about two climbers in the mountains whereblizzards or snowstorms are more common than other formsof the storms mentioned. The clue to this question lies in theword ice mentioned in the penultimate sentence of theparagraph.

47. 3 A crevasse is a deep cleft or fissure especially on glacial ice.None of the other options indicate an opening through whichone can climb down. A spindrift is loose powdery snowincapable of holding protection. An avalanche is a large massof snow, ice, earth, rock or other material in swift motiondown a mountain side. Crag is a sharp fragment of rock.

48. 5 In mountaineering terms, to belay a rope is to wind it aroundsomething, e.g. the waist of a mountaineer to enable the othermountaineer to climb down.

49. 5 (1) and (3) have connotations similar to slow which ismentioned in the passage and hence they are redundant.Precarious - uncertain, risky, dangerous - fits the contextappropriately. Careless is completely out of context.

50. 4 Forbearance means endurance and hence is the right choiceafter stoic . The other options are out of context.

51. 2 The author defines the superiority of the whole over the partbased on the logic of functionality and efficiency. This logicwhen applied to human beings and the state makes the lattersuperior. This makes option (2) correct. The other options donot capture the essence of the paragraph.

52. 4 The author mentions that paranormal investigations show thedifference between what people say has happened and whatactually took place. This makes option (4) correct.

53. 1 The author mentions the reality of today s China wherecounterfeiting is rampant but this is seen to damage its longterm attraction as a foreign investment destination. This makesoption (1) correct. Option (2) is contradictory to the ideamentioned in the paragraph. The other options do not capturethe essence of the paragraph.

54. 1 The author mentions modernity in its definition where constantreworking is seen to be important. This is enshrined in theAmerican constitution which has its benefits. However it leadsto vulnerability from intellectuals and academics who have anintension to reform humans. This makes option (1) correct. heother options do not capture the essence of the paragraph.

55. 2 The author mentions the negative impact of lying in that itdebases man and the contradiction lies in the psychology ofthe liar who fears human beings but not the creator even asGod watches everything. This is best expressed in option(2).

56. 5 None of the options support the view expressed in thepassage. Option (3) might look to tbe true but what the authorintends to say is that water is necessary for life, however, hedoesn t in any way suggest that wherever there would bewater there would be life. Hence (3) is incorrect like all theother options.

57. 4 Aromatherapy may have a number of uses and the givenparagraph / argument assumes that a cure or healing is themain attraction.

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58. 3 (1) is incorrect because it talks about physical violence whichis not mentioned in the argument. (2) and (4) are incorrectbecause they are irrelevant. (3) is correct because it lendscredence to the demands of these workers. (5) is a generalstatement that does not justify the argument.

59. 1 (3), (4) and (5) are supporting the argument. (2) is too genericand goes beyond the scope of the argument. (1) is correctbecause it does not blame the MBA courses for the currenteconomy but talks about the natural cycle.

60. 4 (1), (2) and (5) are not relevant. (3) is a repetition of a part ofthe argument, hence it can not classify as a conclusion. (4) iscorrect because it follows the statement.

61. 2 The author mentions Isaiah Berlin s concept in the firstparagraph and he categorises USA as a hedgehog. In thesubsequent paragraphs, he reveals what is the one idea that the hedgehog is obsessed with and it is revealed to beHobbes and Locke s teachings. This makes option (2) correct.Option (1) cannot be inferred from the passage as it distortsthe intended meaning. Option (3) is too generic and providesa contradiction to the author s idea. Option (4) is only partiallytrue. The founding father of America made a conscious choiceof adopting Hobbesian - Lockean idealism; they were notforced to do it as claimed by the statement in option (5),

making it incorrect.62. 3 The author elaborates upon these points in the second and

the third paragraph. In the second paragraph while talkingabout Hobbes, the author mentions how Hobbes considers allmen to be hurtful towards one another and creating agovernment (Leviathan) was seen as the solution with nocheck on the government. For Locke, as revealed in the thirdparagraph, few men were seen as being hurtful and thegovernment was also seen as being capable of doing thesame. This made two sources of threat for the individual toexist in the scheme of Locke. Any other option does not statethese true facts. This makes option (3) correct.

63. 2 The author mentions in the third paragraph while exploring thepoint that many people maintain that Locke and Hobbes arevery similar and in case the Lockean system sees abreakdown, in its element it will become a Hobbesian system.This is expressed by stating how Locke maintains that theself-interest becomes limited when the individual becomes amember of communities. But, when these communities fail,the overwhelming desire to pursue self-interest would arise.Should these institutions, however, no longer provide suchrestraint, then Locke would really be left with Hobbes ..This makes option (2) correct.

64. 2 The author mentions this at the end of the second paragraphwhere he talks about .would have to be a dictatorshipwithout any limiting safeguards otherwise it would not beable to keep everybody s vicious warring egos in check. This makes option (2) correct.

65. 4 The first paragraph mentions the naming of this source byRommel. The way in which this source came to be used bythe Germans is mentioned in the third paragraph where theburglary is mentioned. This makes option (4) correct.

66. 2 The author talks about the Italians obtaining the code bycommitting a burglary and the fact that they used to hand overthe messages to the Germans minus the code. For Germans,the breakthrough came from interrupting radio signals; but outof all the radio signals Fellers was chosen since he providedthe most detailed version (paragraph four). This makes option(2) correct.

67. 1 The author mentions Fellers as being instrumental in giving outthe code firstly by leaving it in the attach office and secondlyby relaying detailed reports. This makes option (1) correct.There is nothing in the passage that substantiates the otheroptions.

68. 1 The author mentions this incident in the last paragraph whiletalking about the development in the war. The first sentencementions Die gute Quelle kept pace with the advance ofRommel s forces . This basically means that the informationbeing relayed by Fellers was of importance in this situationand as revealed later with Rommel s preemptive offensiveindicates that option (1) is correct.

69. 3 The author mentions the important role played by Fellers, anAmerican in unwittingly giving out a lot of important informationto the enemies due to his diligence and tendency to reporteverything. The tone is narrative where he narrates a lot ofwar incidents around this point.

70. 3 In the first paragraph, the author feels awkward andembarrassed about having to put the artist through thediscomfiture of showing her work to prospective buyers , sheherself was extremely uncomfortable . The fifth paragraphstates that the author attended an exhibition at the RoyalAcademy where Sheila Fell s paintings were displayed,admired and maybe even bought. Thus Option (3) is thecorrect answer. Option (1) is incorrect as the author doesnot in any way sound uneducated. Those who came to viewthe paintings, in the fifth paragraph were spectators, somecould have been artists themselves, others might have beenbuyers while some could have walked in just to have a look.Option (2) can be eliminated as the author does not slight (totreat somebody rudely) the painter, she came to buy onepainting as she liked Fell s work. Option (4) is incorrect as theauthor would not be purchasing a painting if she did not likeFells methodology (organizing system). The fifth paragraphdoes not praise Fell s methodology but talks of the author sfeelings about loosing the painting. Option (5) is incorrect as itis not necessary that the author is having an adulation towardsthe painter-merely finding a connect and admiring the painterdoes not translate in to adulation. Disdain by the large set ofviewers who choose to attend an artist s exhibition is ruledout.

71. 2 Before you finalize the answer, you must know the meaningsof all the above words and then apply them to the said twoparagraphs. Option (1) - idealism belief in perfection as anattainable goal; practicality to be concerned with actualfacts and real life and experience. This Option does not applyas there is no idealism portrayed in the passage thus it cannotbe used as alternative to practicality. Thus Option (1) isincorrect. Option (3) speculation an opinion based onincomplete information or an assumption. The author didassume that the painter would be as uncomfortable as shefelt, but the second paragraph said otherwise Sheila Fellwas perfectly at ease. Investigation an examination orinquiry which has not been mentioned in the passage. Afterthe author sold the painting, she grieved for it, but she madeno inquiries as to who had bought it. Thus Option (3) isincorrect. Option (4) - anticipation is to wait expectantly anddisappointment is a feeling of being let down. In the firstparagraph the author did not wait for anything she went tosee the painting and she bought it. In the second paragraphthe author is not disappointed that Fell was not uncomfortable,in fact she even writes I dont know why Id been so apprehensive, and thus she was not disappointed aboutanything making Option (4) incorrect. Option (2) is the correctanswer as expectation means anticipation (which would have

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been the same as Option (4)) and reality something that actuallyexists and happens the painter was really not awkwardabout showing all her paintings, one by one and was sorelaxed that even the author in turn felt relaxed. Thus Option(2) is the best answer.

72. 3 The sentence reads .. marry it gain after the folly of a divorce. The first sentence of the fifth paragraph statesThe moment the painting had been taken away I realized how stupid Id been.I should have found a way to keep it. I grieved for it . The author realized she made a fatal mistakeonly after she sold the painting and then wished she couldsomehow get it back. Thus Option (3) is the best answer.Option (1) is incorrect the author realized how much shemissed Cumberland when she first saw the painting, not aftershe had sold it. Option (2) is incorrect there were no misleadingmemories of the past. Option (4) can be eliminated on thebasis that it lies beyond the scope of the asked question.Option (5) can be eliminated as nowhere the passage indicatesthat the author is contemptuous towards the viewers.

73. 4 You might have chosen Option 1, but then you would havemade a mistake. Empathy is the understanding of another sfeelings, which she did when she first viewed the painting ofthe freshly cut haystack and the landscape of Cumberlandwhich was her hometown as well as that of Sheila Fell s.She missed the beauty of the painting when she sold it later,and thus Option (1) is incorrect. Option (2) comes a closesecond because she felt that her house, rooms and wallswere not the perfect setting for the painting. Where there s awill, there s a way, but as the author states she did not findthe right place, light, etc to hang up the painting and thus shesold it which caused her even more grief. Thus Option (2) isincorrect. No one puts any kind of pressure to sell it, it wasentirely the author s decision as she gave the setting for thepainting more importance than the fact that it something thatshe loved immensely. Thus Option (3) can be eliminated.Option (4) is the best answer as she is so broken up aboutthe loss of the painting she felt torn divorced broken- hearted. Divorce is the official ending of a marriage in a courtof law thus a complete separation.

74. 3 The passage is about the emotions of the narrator. Her feelingswhen she is on her way to purchase the painting, hersentiments when she sets eyes on the painting for the firsttime and then her passion and her misery when she sells itand then realizes her mistake. Thus Option (3) is the bestanswer. You might have chosen Option (1), but read thepassage carefully. It is only the middle paragraphs that talkabout not being able to find the correct environment for thepainting, while practically the entire passage talks of theauthor s emotions. Thus Option (1) is incorrect. Option (2) isincorrect as Sheila Fell is not controversial (notorious), herpainting was of a landscape, of the Cumberland landscape.The author does not, at any time, defend the work of theartist. Option (4) is incorrect as the economic value of art isnot mentioned and thus Option (4) does not apply. Option (5)is incorrect as the author s tone is simply narrative and shedoes not in any way suggest against being attached to thepainting.

75. 2 The sentence reads ..became almost maudlin at saying my goodbyes. . Now put each word one by one and seewhich one fits best. Option (2) is the best answer as maudlinmeans sentimental and that is what the author felt when sherealized that she would not see the painting again. Contentiousmeans controversial, derisive means mocking, critical means

judgmental and nonchalant means indifferent. Thus Options(1), (3), (4) and (5) are all incorrect.

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